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- Jared C. Bronski, L. D. Carr, Ricardo Carretero-GonzÃ¡lez, Bernard Deconinck, J. Nathan Kutz, Keith Promislow
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Using a standing light wave potential, a stable quasi-one-dimensional attractive dilute-gas Bose-Einstein condensate can be realized. In a mean-field approximation, this phenomenon is modeled by theâ€¦ (More)

- A. Azevedo, Constantin Dafermos, Brad Plohr, Keith Promislow
- 2003

We summarize recent progress on oneand multi-dimensional stability of viscous shock wave solutions of compressible Navierâ€“Stokes equations and related symmetrizable hyperbolicâ€“parabolic systems, withâ€¦ (More)

- Brian G Topp, Keith Promislow, G Devries, Robert M. Miura, Diane T. Finegood
- Journal of theoretical biology
- 2000

Diabetes is a disease of the glucose regulatory system that is associated with increased morbidity and early mortality. The primary variables of this system are beta-cell mass, plasma insulinâ€¦ (More)

- Jared C. Bronski, L. D. Carr, Bernard Deconinck, J. Nathan Kutz, Keith Promislow
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The cubic nonlinear SchrÃ¶dinger equation with repulsive nonlinearity and an elliptic function potential models a quasi-one-dimensional repulsive dilute gas Bose-Einstein condensate trapped in aâ€¦ (More)

- Arjen Doelman, Tasso J. Kaper, Keith Promislow
- SIAM J. Math. Analysis
- 2007

We use renormalization group (RG) techniques to prove the nonlinear asymptotic stability for the semi-strong regime of two-pulse interactions in a regularized Gierer-Meinhardt system. In theâ€¦ (More)

- Keith Promislow
- SIAM J. Math. Analysis
- 2002

We employ global quasi-steady manifolds to rigorously reduce innnite dimensional dynamical systems to nite dimensional ows. The manifolds we construct are not invariant, but through a renormalizationâ€¦ (More)

- Keith Promislow, Gene Wayne
- 2007

The renormalization techniques for determining the long-time asymp-totics of nonlinear parabolic equations pioneered by Bricmont, Kupiainen and Lin are shown to be eeective in analyzing nonlinearâ€¦ (More)

- A Li, Keith Promislow
- 1998

We consider the linear stability and structural stability of non-ground state traveling waves of a pair of coupled nonlinear Schrr odinger equations (CNLS) which describe the evolution ofâ€¦ (More)

- Arjen Doelman, Gurgen Hayrapetyan, Keith Promislow, Brian T. R. Wetton
- SIAM J. Math. Analysis
- 2014

The functionalized Cahn-Hilliard (FCH) free energy models interfacial energy in amphiphilic phase separated mixtures. Its minimizers encompass a rich class of morphologies with detailed innerâ€¦ (More)

- Keith Promislow, Brian T. R. Wetton
- SIAM Journal of Applied Mathematics
- 2009

We present an overview of the mathematical issues that arise in the modeling of polymer electrolyte membrane fuel cells. These issues range from nanoscale modeling of network structures arising inâ€¦ (More)